检索结果-南通市图书馆

NEW NON-NATURALLY REDUCTIVE einstein metricS ON Sp(n)

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2021年第3期41卷 887-898页

作者： Shaoxiang ZHANG Huibin CHEN Shaoqiang DENG School of Mathematical Sciences and LPMC Nankai UniversityTianjin 300071China School of Mathematical Sciences Nanjing Normal UniversityNanjing 210046China

In this paper, we consider a class of left invariant Riemannian metrics on Sp(n),which is invariant under the adjoint action of the subgroup Sp(n-3) × Sp(1) × Sp(1) × Sp(1).Based on the related formulae in the literature, we show that the existence of einstein metrics is equivalent to the existence of solutions of some homogeneous einstein equations. Then we use a technique of the Gr?bner basis to get a sufficient condition for the existence, and show that this method will lead to new non-naturally reductive metrics.

关键词： einstein metric non-naturally reductive metric compact Lie group symplectic group

New Homogeneous einstein metrics on SO(7)/T

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,Series B 2018年第1期39卷 97-110页

作者： Yu WANG Tianzeng LI Guosong ZHAO School of Science Sichuan University of Science and Engineering Department of Mathematics Sichuan University

The authors compute non-zero structure constants of the full flag manifold M = SO(7)/T with nine isotropy summands,then construct the einstein *** the help of computer they get all the forty-eight positive solutions(up to a scale) for SO(7)/T,up to isometry there are only five G-invariant einstein metrics,of which one is Khler einstein metric and four are non-Khler einstein metrics.

关键词： Generalized flag manifold einstein metric Ricci tensor Isotropy representation Isometry

Exact Solutions for einstein＇s Hyperbolic Geometric Flow

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2008年第12期50卷 1331-1335页

作者： HE Chun-Lei Department of Mathematics Shanghai Jiao Tong University Shanghai 200240 China Department of Mathematics Anhui Normal University Wuhu 241000 China

In this paper we investigate the einstein＇s hyperbolic geometric flow and obtain some interesting exact solutions for this kind of flow. Many interesting properties of these exact solutions have also been analyzed and we believe that these properties of einstein＇s hyperbolic geometric flow are very helpful to understanding the einstein equations and the hyperbolic geometric flow.

关键词： einstein's hyperbolic geometric flow einstein metric exact solutions

On einstein Matsumoto metrics

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 2014年第7期57卷 1517-1524页

作者： ZHANG XiaoLing XIA QiaoLing Department of Mathematics Zhejiang University College of Mathematics and Systems Science Xinjiang University

We study a special class of Finsler metrics,namely,Matsumoto metrics F=α2α-β,whereαis a Riemannian metric andβis a 1-form on a manifold *** prove that F is a(weak)einstein metric if and only ifαis Ricci flat andβis a parallel 1-form with respect toα.In this case,F is Ricci flat and *** an application,we determine the local structure and prove the 3-dimensional rigidity theorem for a(weak)einstein Matsumoto metric.

关键词： einstein metric Matsumoto metric Ricci flat

Finsler warped product metrics with special Riemannian curvature properties

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2020年第7期63卷 1391-1408页

作者： Huaifu Liu Xiaohuan Mo Hongzhen Zhang College of Applied Sciences Beijing University of TechnologyBeijing 100124China Key Laboratory of Pure and Applied Mathematics School of Mathematical SciencesPeking UniversityBeijing 100871China

One of the fundamental problems in Finsler geometry is to study Finsler metrics of constant(or scalar)*** this paper,we refine and improve Chen-Shen-Zhao equations characterizing Finsler warped product metrics of scalar flag *** particular,we find equations that characterize Finsler warped product metrics of constant flag *** we improve the Chen-Shen-Zhao result on characterizing einstein Finsler warped product *** its application we construct explicitly many new warped product Douglas metrics of constant Ricci curvature by using known locally projectively flat spherically symmetric metrics of constant flag curvature.

关键词： Finsler metric warped product flag curvature einstein metric spherically symmetric metric